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Simplifying 25n2 + 10n + 1 + 25n + 5 + -6 = 0 Reorder the terms: 1 + 5 + -6 + 10n + 25n + 25n2 = 0 Combine like terms: 1 + 5 = 6 6 + -6 + 10n + 25n + 25n2 = 0 Combine like terms: 6 + -6 = 0 0 + 10n + 25n + 25n2 = 0 10n + 25n + 25n2 = 0 Combine like terms: 10n + 25n = 35n 35n + 25n2 = 0 Solving 35n + 25n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '5n'. 5n(7 + 5n) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(7 + 5n)' equal to zero and attempt to solve: Simplifying 7 + 5n = 0 Solving 7 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5n = 0 + -7 5n = 0 + -7 Combine like terms: 0 + -7 = -7 5n = -7 Divide each side by '5'. n = -1.4 Simplifying n = -1.4Solution
n = {0, -1.4}
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